A free boundary problem for the \(p\)-Laplacian with nonlinear boundary conditions

DOI10.1007/S10231-023-01350-XarXiv2206.10331MaRDI QIDQ6186419

Paolo Acampora, Emanuele Cristoforoni

Publication date: 9 January 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10331

zbMATH Keywords

nonlinear\(p\)-Laplacianfree boundaryRobin

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Free boundary problems for PDEs (35R35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

An isoperimetric result for an energy related to the \(p\)-capacity

Cites Work

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• Shape optimization problems with Robin conditions on the free boundary
• A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
• Existence theorem for a minimum problem with free discontinuity set
• A two-phase problem with Robin conditions on the free boundary
• A free boundary problem related to thermal insulation
• Shape optimization problems for functionals with a boundary integral
• A free boundary problem in thermal insulation with a prescribed heat source

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